What is the limit as x approaches 1-of 2/(ln(x)) ?

The limit as x approaches 1-of 2/(ln(x)) is -infinity

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limit as x approaches 1-of 2/(ln(x))

x \to 1 - lim (\frac{2}{ln ( x )})

- \infty

Solution steps

x \to 1 - lim (\frac{2}{ln ( x )})

For

x

approaching

1

from the left

, x < 1 \Rightarrow ln (x) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

What is the limit as x approaches 1-of 2/(ln(x)) ?
The limit as x approaches 1-of 2/(ln(x)) is -infinity